Grain boundary model and singular diffusivity. (English) Zbl 0961.35164

Kobayashi, Ryo; Warren, James A.; Carter, W. Craig

Kenmochi, N. (ed.), Proceedings of the international conference on free boundary problems: theory and applications, Chiba, Japan, November 7-13, 1999. II. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 14, 283-294 (2000).

Summary: We develop a two-dimensional frame-invariant phase-field model of grain boundaries. One-dimensional analytical solutions for a stable grain boundary in a bicrystal are obtained, and grain boundary energies are computed explicitly. In addition, dynamic (1D and 2D) solutions are presented, showing grain rotation and grain boundary motion simultaneously.
For the entire collection see [Zbl 0941.00021].

MSC:

35Q72	Other PDE from mechanics (MSC2000)
74N05	Crystals in solids

Keywords:

phase-field model of grain boundaries; grain rotation; grain boundary motion